{"title":"具有周期性边界条件的非自交四阶算子的谱渐近性","authors":"D. M. Polyakov","doi":"10.1134/S0040577924100039","DOIUrl":null,"url":null,"abstract":"<p> A non-self-adjoint fourth-order differential operator with nonsmooth coefficients and periodic boundary conditions is considered. Results concerning the asymptotics of the spectrum of this operator are obtained. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions\",\"authors\":\"D. M. Polyakov\",\"doi\":\"10.1134/S0040577924100039\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> A non-self-adjoint fourth-order differential operator with nonsmooth coefficients and periodic boundary conditions is considered. Results concerning the asymptotics of the spectrum of this operator are obtained. </p>\",\"PeriodicalId\":797,\"journal\":{\"name\":\"Theoretical and Mathematical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0040577924100039\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577924100039","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions
A non-self-adjoint fourth-order differential operator with nonsmooth coefficients and periodic boundary conditions is considered. Results concerning the asymptotics of the spectrum of this operator are obtained.
期刊介绍:
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.